A new flexible generalized family for constructing many families of distributions

We propose a new flexible generalized family (NFGF) for constructing many families of distributions. The importance of the NFGF is that any baseline distribution can be chosen and it does not involve any additional parameters. Some useful statistical properties of the NFGF are determined such as a linear representation for the family density, analytical shapes of the density and hazard rate, random variable generation, moments and generating function. Further, the structural properties of a special model named the new flexible Kumaraswamy (NFKw) distribution, are investigated, and the model parameters are estimated by maximum-likelihood method. A simulation study is carried out to assess the performance of the estimates. The usefulness of the NFKw model is proved empirically by means of three real-life data sets. In fact, the two-parameter NFKw model performs better than three-parameter transmuted-Kumaraswamy, three-parameter exponentiated-Kumaraswamy and the well-known two-parameter Kumaraswamy models.     

Combining answers to direct and indirect questions: An implementation of Kuk’s randomized response model

Abstract

In this article, we propose a two folded approach for estimation of the population proportion of a sensitive attribute. The rationale of proposed technique is to give respondents choice if they want to avail randomized device or not. Thus, our technique is inherently capable of entertaining the responses attained through direct questioning and by employing randomization device, as well. We believe that free to choose policy will be helpful to develop a curtsy between interviewer and respondent (which is highly desirable, especially when sensitive issue is under consideration) and thus enhances the survey reliability. The proposed technique is developed for simple random sampling, at first, and then extended to stratified random sampling. The superior performance of proposed technique in comparison to the Kuk (1990 Kuk, A. Y. 1990. Asking sensitive questions indirectly. Biometrika 77 (2):436–8. doi:10.1093/biomet/77.2.436.[Crossref], [Web of Science ®] , [Google Scholar]) method is demonstrated throughout this article. We provide algebraic, graphical and numerical evidences in support of our proposed technique. Furthermore, we also offer cost analysis considering most commonly used cost functions in the literature of survey research.     

Changes in Preference for Infant‐Directed Speech in Low and Moderate Noise by 4.5‐ to 13‐Month‐Olds

Although a large literature discusses infants' preference for infant‐directed speech (IDS), few studies have examined how this preference might change over time or across listening situations. The work reported here compares infants' preference for IDS while listening in a quiet versus a noisy environment, and across 3 points in development: 4.5 months of age, 9 months of age, and 13 months of age. Several studies have suggested that IDS might help infants to pick out speech in the context of noise (Colombo, Frick, Ryther, Coldren, & Mitchell, 1995; Fernald, 1984; Newman, 2003); this might suggest that infants' preference for IDS would increase in these settings. However, this was not found to be the case; at all 3 ages, infants showed similar advantage (or lack thereof) for IDS as compared to adult‐directed speech when presented in noise versus silence. There was, however, a significant interaction across ages: Infants aged 4.5 months showed an overall preference for IDS, whereas older infants did not, despite listening to the same stimuli. The lack of an effect with older infants replicates and extends recent findings by Hayashi, Tamekawa, and Kiritani (2001), suggesting that the variations in fundamental frequency and affect are not sufficient cues to IDS for older infants.     

ESTIMATION OF SCALE AND LOCATION PARAMETERS, USING QUADRATIC COEFFICIENTS

A particular linear estimate with three terms approximation using ordered observations is discussed which seems to be simple to calculate. This estimate is applicable for any sample size for some special distributions without considerable loss in efficiency and is, therefore, of practical value.     

A fuzzy clustering approach to evaluate individual competencies from REFLEX data

We empirically illustrate how concepts and methods involved in a grade of membership (GoM) analysis can be used to sort individuals by competence. Our study relies on a data set compiled from the international survey on higher education graduates called REFLEX. We focus on the subset of data related to the perception of own competencies. It is first decomposed into fuzzy clusters that form a hierarchical fuzzy partition. Then, we calculate a scalar measure of competencies for each fuzzy cluster, and subsequently use the individual GoM scores to combine cluster-based competencies to position individuals on a scale from 0 to 1.     

Fertility and Financial Development in South Asia

The paper empirically examines old-age security hypothesis to explain fertility rates in South Asia. Panel data is used for the period 1972–2013 for seven South Asian countries which include Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri Lanka. The estimated results reveal that in South Asia fertility rate decreases with the increase in financial development. Thus, the findings support old-age security hypothesis that parents use children as financial instruments to secure their old age. This paper validates the theory that the availability of alternative financial tools reduces the incentives of households to have large offspring. Infant mortality is also shown an important factor for high fertility rate in South Asia. This implies that households cover their risk from losing children by producing more children. The results also reveal that fertility rate decreases with the increase in per capita income, which implies that households treat children as inferior good in this region. In other words, households prefer quality of children over quantity of children when their income level increases. The results have also shown that fertility decreases with the increase in education, urbanization, agriculture productivity and industrialization. The study has some important policy implications.     

Estimation and forecasting hospital admissions due to Influenza: Planning for winter pressure. The case of the West Midlands, UK

Winters are a difficult period for the National Health Service (NHS) in the United Kingdom (UK), due to the combination of cold weather and the increased likelihood of respiratory infections, especially influenza. In this article we present a proper statistical time series approach for modelling and analysing weekly hospital admissions in the West Midlands in the UK during the period week 15/1990 to week 14/1999. We consider three variables, namely, hospital admissions, general practitioner consultants, and minimum temperature. The autocorrelations of each series are shown to decay hyperbolically. The correlations of hospital admission and the lag of other series also decay hyperbolically but with different speed and directions. One of the main objectives of this paper is to show that each of the three series can be represented by a Fractional Differenced Autoregressive integrated moving average model, (FDA). Further, the hospital admission winter and summer residuals shows significant interdependency, which may be interpreted as hidden periodicities within the last 10-years time interval. The short-range (8 weeks) forecasting of hospital admission of the FDA model and a fourth-order AutoRegressive AR(4) model are quite similar. However, our results reveal that the long-range forecasting of FDA is more realistic. This implies that, using the FDA approach, the respective authority can plan for winter pressure properly.     

Perceived Parental Acceptance‐Rejection and Psychological Adjustment: A Meta‐Analysis of Cross‐Cultural and Intracultural Studies

Meta‐analytic procedures were used to pool information from 43 studies worldwide to test one of the major postulates of parental acceptance‐rejection theory (PARTheory). Specifically, using child and adult versions of the Parental Acceptance‐Rejection Questionnaire (PARQ) and the Personality Assessment Questionnaire (PAQ), these studies allowed us to assess the claim within PARTheory's personality subtheory that perceived parental acceptance‐rejection is associated universally with a specific form of psychological (mal)adjustment among children and adults, regardless of differences in gender, race, geography, language, or culture. Results of the analysis showed that the predicted relation emerged without exception in all studies. The mean weighted effect sizes across the full range of sociocultural and ethnic groups studied were r= .51 for children and r= .46 for adults. Analysis of fail safe N showed that 3,433 additional studies, all with nonsignificant results, would be required to disconfirm the pancultural association between the PARQ and PAQ among children; 941 such studies would be required to disconfirm this relation among adults.     

Effects of Multiple Acceptance and Rejection on Adults’ Psychological Adjustment: A Pancultural Study

The purpose of this study was to examine the effects on adults’ current psychological adjustment of perceived acceptance or rejection by mothers and fathers in childhood and by intimate partners in adulthood. The sample consisted of 1,709 adults (35 % male and 65 % female), including 1,645 individuals in the multiple acceptance group and 64 in the multiple rejection group. Respondents were selected from a total sample of 2,236 adults in 10 countries including Bangladesh, Colombia, Finland, India, Japan, Korea, Kuwait, Puerto-Rico, Turkey, and the USA. Measures used were the Intimate Partner Acceptance–Rejection/Control Questionnaire (IPAR/CQ), the Adult version of the Parental Acceptance–Rejection/Control Questionnaire for Mothers and Fathers (Adult PARQ/Control: Mothers and Fathers), and the Adult version of the Personality Assessment Questionnaire (Adult PAQ). Results showed that significantly more women than men experienced multiple acceptance, and significantly more men than women reported multiple rejection. Regardless of gender, the majority of respondents in the multiple acceptance group reported healthy psychological adjustment, whereas the majority of respondents in the multiple rejection group reported severe maladjustment.